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Finding the Fourth Proportional to 1,179.06, 1,768.50 and 301.56

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Solution

The fourth proportional to 1,179.06, 1,768.50 and 301.56 is: 452.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.06 : 1,768.50 = 301.56 : x
  2. Step 2: Convert to fraction form
    1,179.06/1,768.50 = 301.56/x
  3. Step 3: Cross multiply
    1,179.06x = 1,768.50 × 301.56
  4. Step 4: Simplify right side
    1,179.06x = 533,308.86
  5. Step 5: Solve for x
    x = 533,308.86/1,179.06
  6. Step 6: Final answer
    x = 452.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.